Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

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book:chap1:1.1_basic_notions_of_mechanics

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book:chap1:1.1_basic_notions_of_mechanics [2021/11/01 00:58] – jvbook:chap1:1.1_basic_notions_of_mechanics [2024/10/26 12:19] (current) – jv
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 +[[basics| 1. Basic Principles]]
 +  * **1.1 Basic notions of mechanics**
 +  * [[ 1.2 Dimensional analysis ]]
 +  * [[ 1.3 Order-of-magnitude guesses ]]
 +  * [[ 1.4 Problems ]]
 +  * [[ 1.5  Further reading ]]
 +
 +----
 +
 ===== 1.1 Basic notions of mechanics ===== ===== 1.1 Basic notions of mechanics =====
  
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 and $\mathbf x_i$ may be thought of as a vector in $\mathbb{R}^D$. and $\mathbf x_i$ may be thought of as a vector in $\mathbb{R}^D$.
 We say that $\mathbf x_i$ is a $D$-vector. We say that $\mathbf x_i$ is a $D$-vector.
-In [[book:chap2:2.5_vector_spaces|Section 2.5.ff]] we will take a closer look at vectors and their properties.+In [[book:chap2:forcestorques|Chapter 2]] we will take a closer look at vectors and their properties.
 </wrap> </wrap>
  
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 <WRAP box round>**Example 1.1** <wrap hi>A piece of chalk</wrap> \\  <WRAP box round>**Example 1.1** <wrap hi>A piece of chalk</wrap> \\ 
-We wish to follow the trajectory of a piece of chalk through the lecture hall.+We wish to follow the trajectory of a piece of chalk through the lecture hall (i.e., when it is thrown, **not** when somebody is using it to write on a blackboard).
 In order to follow its position and orientation in space, we //decide// to model it In order to follow its position and orientation in space, we //decide// to model it
 as a set of two masses that are localized at the tip and at the tail of the chalk. as a set of two masses that are localized at the tip and at the tail of the chalk.
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 </WRAP> </WRAP>
  
-<WRAP box round>**Definition 1.6** <wrap em>Initial Conditions (IC)</wrap> \\ +<WRAP box round #Defi_IC>**Definition 1.6** <wrap em>Initial Conditions (IC)</wrap> \\ 
 equations of motion}} equations of motion}}
 ordinary differential equation}} ordinary differential equation}}
book/chap1/1.1_basic_notions_of_mechanics.1635724722.txt.gz · Last modified: 2021/11/01 00:58 by jv